27733581040 has 160 divisors (see below), whose sum is σ = 78401053440. Its totient is φ = 8992051200.

The previous prime is 27733581019. The next prime is 27733581067. The reversal of 27733581040 is 4018533772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27733580984 and 27733581002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235455 + ... + 333025.

It is an arithmetic number, because the mean of its divisors is an integer number (490006584).

Almost surely, 2^27733581040 is an apocalyptic number.

27733581040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27733581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39200526720).

27733581040 is an abundant number, since it is smaller than the sum of its proper divisors (50667472400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27733581040 is a wasteful number, since it uses less digits than its factorization.

27733581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97631 (or 97625 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 27733581040 in words is "twenty-seven billion, seven hundred thirty-three million, five hundred eighty-one thousand, forty".